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def _(N=(47,0,-1)):
var('x,y')
p=implicit_plot(sin(x)-cos(x),(0,4*pi),(-1,1),linestyle=':')
p+=sum([plot((sin(x),cos(x)),(pi*n/12,pi*(n+1)/12),
thickness=12,alpha=.7,
color=colormaps.jet(6*n)[:3])
for n in [0..N]])
p.show(aspect_ratio=4,gridlines=True,figsize=5)
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